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Finding the Third Proportional to 275,193 and 562,050

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Solution

The third proportional to 275,193 and 562,050 is: 1,147,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,193 : 562,050 = 562,050 : x
  2. Step 2: Convert to fraction form
    275,193/562,050 = 562,050/x
  3. Step 3: Cross multiply
    275,193x = 562,050 × 562,050
  4. Step 4: Simplify right side
    275,193x = 315,900,202,500
  5. Step 5: Solve for x
    x = 315,900,202,500/275,193
  6. Step 6: Final answer
    x = 1,147,922.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.